ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿Í¬Ñ§ÃÇÓÃÈçͼËùʾµÄʵÑé×°ÖÃÀ´Ñо¿Æ½Å×Ô˶¯£®Í¼ÖÐˮƽ·ÅÖõĵװåÉÏÊúÖ±µØ¹Ì¶¨ÓÐM°åºÍN°å£¬M°åÉϲ¿ÓÐÒ»¸ö Ô²»¡ÐεĹìµÀ£¬PΪ×î¸ßµã£¬OΪ×îµÍµã£¬Oµã´¦µÄÇÐÏßˮƽ£®N°åÉϹ̶¨Óкܶà¸öÔ²»·£®½«Ð¡Çò´ÓPµã·É³öºóÎÞ×è°µØͨ¹ý¸÷Ô²»·ÖÐÐÄ£¬Âäµ½µ×°åÉÏ£®ÒÔOµãΪ×ø±êԵ㣬¹ýOµãµÄˮƽÇÐÏß·½ÏòΪxÖᣬÊúÖ±ÏòÏÂΪyÖᣬ°Ñ¸÷¸öÔ²»·µÄÖÐÐÄͶӰµ½N°åÉÏ£¬¼´µÃµ½Ð¡ÇòµÄÔ˶¯¹ì¼££®
£¨1£©ÒÑÖªP1´¦µÄÔ²»·ÖÐÐľàOµãµÄˮƽ¾àÀëºÍÊúÖ±¾àÀë·Ö±ðΪx1ºÍy1 £¬ P2´¦µÄÔ²»·ÖÐÐľàOµãµÄˮƽ¾àÀëºÍÊúÖ±¾àÀë·Ö±ðΪx2ºÍy2 £¬ ÇÒy2=4y1 £® Èç¹ûÒÑ֪ƽÅ×Ô˶¯ÔÚÊúÖ±·½ÏòÉϵÄÔ˶¯¹æÂÉÓë×ÔÓÉÂäÌåÔ˶¯Ïàͬ£¬ÔÚ´ËÇ°ÌáÏ£¬Èç¹ûx2=2x1 £¬ Ôò˵Ã÷СÇòÔÚˮƽ·½Ïò×öÔ˶¯£®
£¨2£©°ÑP1µãµÄ×ø±êx1¡¢y1´úÈëy=ax2 £¬ Çó³ö³£Êýa=a1£»°ÑP2µãµÄ×ø±êx2¡¢y2´úÈëy=ax2 £¬ Çó³ö³£Êýa=a2£»¡£»°ÑPnµãµÄ×ø±êxn¡¢yn´úÈëy=ax2 £¬ Çó³ö³£Êýa=an £¬ Èç¹ûÔÚʵÑéÎó²î³äÐíµÄ·¶Î§ÄÚ£¬ÓÐa1=a2=¡=an £¬ ˵Ã÷¸ÃСÇòµÄÔ˶¯¹ì¼£ÊÇÒ»Ìõ £®
£¨3£©ÒÑ֪СÇòÔÚµ×°åÉϵÄÂäµã¾àOµãˮƽ¾àÀëΪL£¬Oµã¾àµ×°å¸ßΪH£¬²»¿¼ÂÇ¿ÕÆø×èÁ¦£¬ÖØÁ¦¼ÓËÙ¶ÈΪg£¬ÔòСÇòÔ˶¯µ½OµãʱËٶȵĴóСΪ £®
¡¾´ð°¸¡¿
£¨1£©ÔÈËÙÖ±Ïß
£¨2£©Å×ÎïÏß
£¨3£©
¡¾½âÎö¡¿½â£º£¨1£©ÓÉÌâÒâ¿ÉÖª£¬y2=4y1 £® Èç¹ûÒÑ֪ƽÅ×Ô˶¯ÔÚÊúÖ±·½ÏòÉϵÄÔ˶¯¹æÂÉÓë×ÔÓÉÂäÌåÔ˶¯Ïàͬ£¬
¸ù¾ÝÔ˶¯Ñ§¹«Ê½¿ÉÖª£¬ÔÚÏàµÈµÄʱ¼äÄÚ£¬Î»ÒÆÖ®±ÈΪ1£º3£¬Òò´ËËüÃǵÄÔ˶¯Ê±¼ä¼ä¸ôÏàµÈ£»
ÔÚ´ËÇ°ÌáÏ£¬Èç¹ûx2=2x1 £¬ Ôò˵Ã÷СÇòÔÚˮƽ·½Ïò×öÔÈËÙÖ±ÏßÔ˶¯£» £¨2£©Æ½Å×Ô˶¯Ë®Æ½·½ÏòµÄλÒƱí´ïʽx=vot£»
¶øÊúÖ±·½ÏòµÄλÒƱí´ïʽ£¬y= £»
Á½Ê½ÏàԼȥʱ¼ät£¬ÔòÓУºy= x2£»
Èç¹ûÔÚʵÑéÎó²î³äÐíµÄ·¶Î§ÄÚ£¬ÓÐa1=a2=¡=an £¬ ˵Ã÷¸ÃСÇòµÄÔ˶¯¹ì¼£ÊÇÒ»ÌõÅ×ÎïÏߣ»£¨3£©¸ù¾ÝH= gt2µÃ£¬t= £®
СÇòÅ׳öʱµÄËÙ¶Èv0= = £»
ËùÒÔ´ð°¸ÊÇ£º£¨1£©ÔÈËÙÖ±Ïߣ»£¨2£©Å×ÎïÏߣ» £¨3£© £®
¡¾¿¼µã¾«Îö¡¿±¾ÌâÖ÷Òª¿¼²éÁËƽÅ×Ô˶¯µÄÏà¹Ø֪ʶµã£¬ÐèÒªÕÆÎÕÌصã:¢Ù¾ßÓÐˮƽ·½ÏòµÄ³õËÙ¶È;¢ÚÖ»ÊÜÖØÁ¦×÷Óã¬ÊǼÓËÙ¶ÈΪÖØÁ¦¼ÓËÙ¶ÈgµÄÔȱäËÙÇúÏßÔ˶¯£»Ô˶¯¹æÂÉ:ƽÅ×Ô˶¯¿ÉÒÔ·Ö½âΪˮƽ·½ÏòµÄÔÈËÙÖ±ÏßÔ˶¯ºÍÊúÖ±·½ÏòµÄ×ÔÓÉÂäÌåÔ˶¯²ÅÄÜÕýÈ·½â´ð´ËÌ⣮